105432761 has 12 divisors (see below), whose sum is σ = 122813568. Its totient is φ = 90247752.

The previous prime is 105432737. The next prime is 105432773. The reversal of 105432761 is 167234501.

It is not a de Polignac number, because 105432761 - 2⁶ = 105432697 is a prime.

It is a super-2 number, since 2×105432761² = 22232134184166242, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105432731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70160 + ... + 71646.

It is an arithmetic number, because the mean of its divisors is an integer number (10234464).

Almost surely, 2^105432761 is an apocalyptic number.

It is an amenable number.

105432761 is a deficient number, since it is larger than the sum of its proper divisors (17380807).

105432761 is a wasteful number, since it uses less digits than its factorization.

105432761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2948 (or 2941 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 105432761 is about 10268.0456270899. The cubic root of 105432761 is about 472.4166473910.

The spelling of 105432761 in words is "one hundred five million, four hundred thirty-two thousand, seven hundred sixty-one".